Descent of tautological sheaves from Hilbert schemes to Enriques manifolds

(K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Sheaves in algebraic geometry (14F06)

Cites Work

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Geometry and stability of tautological bundles on Hilbert schemes of points
Tautological sheaves: stability, moduli spaces and restrictions to generalised Kummer varieties
Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
A note on the existence of stable vector bundles on Enriques surfaces
Periods of Enriques surfaces
Some remarks on tautological sheaves on Hilbert schemes of points on a surface
Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
Stable vector bundles on generalized Kummer varieties
Equivariant autoequivalences for finite group actions
Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
A note on automorphisms and birational transformations of holomorphic symplectic manifolds
Equivalences of equivariant derived categories
Enriques manifolds
Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme
Moduli spaces of stable vector bundles on Enriques surfaces
Fourier-Mukai transform of vector bundles on surfaces to Hilbert scheme
Fixed point theorems involving numerical invariants
Extension groups of tautological sheaves on Hilbert schemes
Algebraic Families on an Algebraic Surface
Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points
Extension groups of tautological bundles on symmetric products of curves

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